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Optimization of models derived by dimensional analysis using generalized polynomial programming

Authors
Journal
Journal of the Franklin Institute
0016-0032
Publisher
Elsevier
Publication Date
Volume
292
Issue
6
Identifiers
DOI: 10.1016/0016-0032(71)90171-2
Disciplines
  • Computer Science
  • Design
  • Engineering
  • Mathematics

Abstract

Abstract The design relations of many engineering systems are obtained by dimensional analysis or fitting power functions to experimental data. This paper describes a nonlinear optimization technique called “generalized polynomial programming”, an extension of geometric programming, which optimizes the design or operating conditions of engineering systems involving these relations. A simple problem in heat transmission is formulated and solved to demonstrate the technique.

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